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Answer :
The work done on the 1550 kg elevator car by its cable to lift it 38.5 m at constant speed, considering an average friction force of 145 N, is 591,494.25 J.
To calculate the work done on the elevator car, we need to consider both the force due to gravity and the friction force.
Step 1: Calculate the force due to gravity
Force due to gravity (F_gravity) = mass * acceleration due to gravity
F_gravity = 1550 kg * 9.81 m/s^2
F_gravity = 15,205.5 N
Step 2: Calculate the net force
Net force (F_net) = F_gravity + friction force
F_net = 15,205.5 N + 145 N
F_net = 15,350.5 N
Step 3: Calculate the work done
Work done (W) = F_net * distance
W = 15,350.5 N * 38.5 m
W = 591,494.25 J
The work done on the 1550 kg elevator car by its cable to lift it 38.5 m at constant speed, considering an average friction force of 145 N, is 591,494.25 J.
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